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Finding the Third Proportional to 82,808.16 and 179,619.19

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Solution

The third proportional to 82,808.16 and 179,619.19 is: 389,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,808.16 : 179,619.19 = 179,619.19 : x
  2. Step 2: Convert to fraction form
    82,808.16/179,619.19 = 179,619.19/x
  3. Step 3: Cross multiply
    82,808.16x = 179,619.19 × 179,619.19
  4. Step 4: Simplify right side
    82,808.16x = 32,263,052,518.16
  5. Step 5: Solve for x
    x = 32,263,052,518.16/82,808.16
  6. Step 6: Final answer
    x = 389,612.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.